Shane Kelly: Motives with modulus over a general base

27 September 2021

This is joint work with Hiroyasu Miyazaki. Motives with modulus, as developed by Kahn, Miyazaki, Saito, Yamazaki is an extension of Voevodsky's theory of motives with the aim of capturing non-A1-invariant phenomena that is inaccessible to Voevodsky's theory but still \motivic" in nature, such as wild ramication or the unipotent parts of generalised Jacobians. I will give an overview of the theory, and explain how it can be generalised to an arbitrary qcqs base. Both equal and mixed characteristic bases are allowed.

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Representation theory’s hidden motives
27 September – 1 October 2021